Advertisements
Advertisements
Question
In the following figure, ∆ARO ≅ ∆ ______.
Advertisements
Solution
In the following figure, ∆ARO ≅ ∆PQO.
Explanation:
In ∆ARO and ∆PQO,
∠ARO = ∠PQO = 55°
∠AOR = ∠POQ ...[Vertically opposite angles]
∴ ∠RAO = ∠QPO ...[∵ If two angles of a triangle are equal to two angles of another triangle then the third angle is also equal]
AO = PO = 2.5 cm
∴ ∆ARO ≅ ∆PQO ...[ASA criterion]
APPEARS IN
RELATED QUESTIONS
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
In the given figure, AD = CD and AB = CB. Identify the other three pairs that are equal
In the following figure, Δ ______ ≅ ΔPQR.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
Observe the given figure and state the three pairs of equal parts in triangles ABC and DBC.
- Is ∆ABC ≅ ∆DCB? Why?
- Is AB = DC? Why?
- Is AC = DB? Why?
